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Finding the Third Proportional to 736.12 and 1,617.47

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Solution

The third proportional to 736.12 and 1,617.47 is: 3,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.12 : 1,617.47 = 1,617.47 : x
  2. Step 2: Convert to fraction form
    736.12/1,617.47 = 1,617.47/x
  3. Step 3: Cross multiply
    736.12x = 1,617.47 × 1,617.47
  4. Step 4: Simplify right side
    736.12x = 2,616,205.16
  5. Step 5: Solve for x
    x = 2,616,205.16/736.12
  6. Step 6: Final answer
    x = 3,554.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.